In order to compare our method to the RBLOD approach introduced in [1]},
we have implemented a corresponding version of the RBLOD that is applicable to our LOD formulation.
In particular, we use the interpolation operator from [2]} and Petrov-Galerkin
projection (REF ) in contrast to the Clément interpolation and Galerkin projection used in [1]}.
Further, in [1]} individual ROMs for the local correctors \((\phi _i)\)  are constructed, where the snapshot parameters are chosen identically among all \([T^\prime ](\phi _i)\) , \(T^\prime \subset \operatorname{supp} \psi _z\) .
In the RBLOD variant implemented by us, we independently train the corrector ROMS for each \(T \in \mathcal {T}_H\)  as is done in Stage 1 of the TSRBLOD.
We note that for both RBLOD variants, the number of ROMs constructed for each coarse element \(T\)  is equal to the number of coarse-mesh basis functions \(\phi _i\)  supported on this element, whereas Stage 1 of the TSRBLOD constructs a single ROM to approximate all local correctors.
